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maw [93]
3 years ago
13

The diagram shows a right-angled triangle.

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
7 0

Answer:

h = 9.87 cm

Step-by-step explanation:

Given that,

Base, b = 8 cm

Height = h

Angle, \theta=51^{\circ}

We need to find the value of h. We can use trigonometry to find h.

\tan\theta=\dfrac{\text{Perpendicular}}{\text{Base}}\\\\\tan(51)=\dfrac{h}{8}\\\\h=\tan(51)\times 8\\\\h=9.87\ cm

So, the height of the triangle is 9.87 cm.

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ira [324]

Answer:

1) Subtracting one from the other

2) x = 0.375 and y = 0.125

Step-by-step explanation:

Equation 1 :

\frac{2x+1}{2y}=7\\\\

Equation 2:

\frac{6x-1}{2y}=5

To solve these equations by the Elimination method we multiply equation 1 with 6 and multiply equation 2 with 2 so now,

\frac{2x+1}{2y} =7\\\\2x+1=14y\\\\Multiplying\ Equation\ 1\  with\ 6\\\\12x+6=84y

Now for the second equation:

\frac{6x-1}{2y}=5\\\\6x-1=10y\\\\Multiplying\ equation\ 2\ with\ 2 \\\\12x-2=20y

Now subtracting equation 2 from equation 1

12x+6=84y\\\\12x-2=20y\\\\Subtracting\ leads\ to\\12x-12x+6-(-2)=84y-20y\\0+8=64y\\8=64y\\8/64=y\\0.125=y

now insert this value of y into any equation

lets insert it into equation 1

\frac{2x+1}{2y} =7\\\\2x+1=14y\\2x+1=14(0.125)\\2x+1=1.75\\2x=1.75-1\\2x=0.75\\x=0.75/2\\x-0.375

5 0
3 years ago
What is the taxidistance between (2,11) and (7,10)<br> 4<br> 6<br> 7<br> 26
Scilla [17]
X difference: 7-2 = 5 y difference: 11-10 = 1 Add up those results: 5+1 = 6 

Answer Is 6
4 0
3 years ago
Which of the following inequalities matches the graph? graph of an inequality with a solid horizontal line through the point 0,
Rashid [163]

Answer:

y\geq -1

Step-by-step explanation:

The inequality has the attached picture as its graph.. The inequality passes through (0,-1) and is a horizontal line. This means the inequality has the form y < b or y > b where b is the y-coordinate. Since the \shading is above the line then the values must be greater than -1. It is also a solid line so the inequality is equal to. The inequality is y\geq -1

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3 years ago
Draw the graph of the equation:<br><br> 2x-y=6
DochEvi [55]
Hope this helps!, I have to have more than 20 characters so ignore this!

7 0
3 years ago
The height of the Empire State Building is 1250 feet tall. Your friend, who is 75 inches tall, is standing nearby and casts a sh
Lyrx [107]
Answer:

The length of the building's shadow = 550.66 ft

Explanations:

The height of the Empie State Building = 1250 feet

The friend's height = 75 inches

The length of the friend's shadow = 33 inches

\frac{Actual\text{ height of the friend}}{\text{Length of the friend's shadow}}=\text{ }\frac{Height\text{ of the building}}{\text{Length of the building's shadow}}\begin{gathered} \frac{75}{33}=\text{ }\frac{1250}{\text{Length of the building's shadow}} \\ 2.27\text{ =  }\frac{1250}{\text{Length of the building's shadow}} \\ \text{Length of the building's shadow = }\frac{1250}{2.27} \\ \text{Length of the building's shadow = }550.66\text{ f}et \end{gathered}

6 0
1 year ago
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